Question

Write the linear equation that gives the rule for this table X 2,3,4,5 Y 1,2,3,4

Answer 1

Answer:
`Y=X-1`

Explanation:

The standard linear equation for the table is expressed as y = mx + b with

m as the slope of the line and b as the y-intercept.

We will use coordinates (2,1) and (3,2) from the table to calculate the slope, m.

`\begin{equation}\begin{aligned}m &=(Y 2-Y 1)/(X 2-X 1) \\m &=(2-1)/(3-2) \\m &=(1)/(1) \\m &=1\end{aligned}\end{equation}`

We can find the formula using the point-slope formula.

`(Y -Y 1)=\ m (X -X1)\\Y-1=1(X-2)\\Y-1=X-2\\Y=X-1`